In this paper, we consider Large Eddy Simulations (LES) for human stenotic carotids in presence of atheromasic plaque. It is well known that in such a pathological condition, transitional effects to turbulence may occur, with relevant clinical implications such as plaque rupture. The first aim of this work is to provide a way to define a Direct Numerical Simulation (DNS). In our context turbulence is not statistically homogeneous isotropic and stationary. We define mesh size and time step by considering the reduced model of a 2D shear layer. Then, we compare the performance of LES ¾ model (both static and dynamic) and of mixed LES models (where also a similarity model is considered) with that of DNS in a realistic scenario of a carotid. The results highlight the effectiveness of the LES ¾ models in terms of accuracy, especially for the static model.